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Finding the Fourth Proportional to 263,234.82, 394,893.51 and 113,517.66

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Solution

The fourth proportional to 263,234.82, 394,893.51 and 113,517.66 is: 170,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,234.82 : 394,893.51 = 113,517.66 : x
  2. Step 2: Convert to fraction form
    263,234.82/394,893.51 = 113,517.66/x
  3. Step 3: Cross multiply
    263,234.82x = 394,893.51 × 113,517.66
  4. Step 4: Simplify right side
    263,234.82x = 44,827,387,204.39
  5. Step 5: Solve for x
    x = 44,827,387,204.39/263,234.82
  6. Step 6: Final answer
    x = 170,294.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.